Rob Burns

most citedStructure and asymptotics for Catalan numbers modulo primes using automata

3 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2017★ 3 cited

Structure and asymptotics for Catalan numbers modulo primes using automata

Rob Burns

Let $C_{n}$ be the $n$ th Catalan number. We show that the asymptotic density of the set ${n : C_{n} \equiv 0 mod p}$ is $1$ for all primes $p$ , We also show that if $n = p^{k} - 1$ the…

math.NT2016★ 3 cited

Structure and asymptotics for Motzkin numbers modulo small primes using automata

Rob Burns

We establish the asymptotic density and some structure results for the Motzkin numbers modulo primes up to 29 using automata.

math.NT2016★ 3 cited

Asymptotic density of Motzkin numbers modulo small primes

Rob Burns

We establish the asymptotic density of the Motzkin numbers modulo small primes.

math.NT2016★ 1 cited

Asymptotic density of Catalan numbers modulo 3 and powers of 2

Rob Burns

We establish the asymptotic density of the Catalan numbers modulo 3 and modulo powers of 2.